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44342480 = 2457136091
BaseRepresentation
bin1010100100100…
…1110011010000
310002102211110002
42221021303100
542322424410
64222225132
71045622240
oct251116320
9102384402
1044342480
1123037186
1212a251a8
139257270
145c63b20
153d5d7a5
hex2a49cd0

44342480 has 80 divisors (see below), whose sum is σ = 126908544. Its totient is φ = 14031360.

The previous prime is 44342471. The next prime is 44342491. The reversal of 44342480 is 8424344.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4235 + ... + 10325.

Almost surely, 244342480 is an apocalyptic number.

44342480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44342480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63454272).

44342480 is an abundant number, since it is smaller than the sum of its proper divisors (82566064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44342480 is a wasteful number, since it uses less digits than its factorization.

44342480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6124 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The square root of 44342480 is about 6659.0149421667. The cubic root of 44342480 is about 353.9484321662.

The spelling of 44342480 in words is "forty-four million, three hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 6091 7280 12182 24364 30455 42637 48728 60910 79183 85274 97456 121820 158366 170548 213185 243640 316732 341096 395915 426370 487280 554281 633464 682192 791830 852740 1108562 1266928 1583660 1705480 2217124 2771405 3167320 3410960 4434248 5542810 6334640 8868496 11085620 22171240 44342480